Jump to content

File:Triskelion-spiral-threespoked-inspiral.svg

From Wikisource

Original file (SVG file, nominally 606 × 617 pixels, file size: 8 KB)

This file is from Wikimedia Commons and may be used by other projects. The description on its file description page there is shown below.

Summary

Description

A form of a Triskelion symbol containing three double spirals which branch out into a larger spiral which encloses the whole figure. Inspired by various Celtic decorative motifs, but this version is constructed from mathematical Archimedean spirals. Useful as an example of a "wheeled" type of triskelion. For less ornate "wheeled" triskelions with partially-enclosing circle (instead of enclosing spiral), see Image:Wheeled-Triskelion-basic.svg , Image:Roissy triskelion iron ring signet.png , and Image:Triple-spiral-wheeled-simple.svg .

For other, non-wheel versions of the triskelion or triple-spiral symbols, see Image:Triskele-Symbol-spiral-five-thirds-turns.svg , Image:Triple-Spiral-Symbol-filled.svg , Image:Triple-Spiral-Symbol-4turns-filled.svg , Image:Triskele-Symbol-spiral.svg , or Image:Triple-Spiral-Symbol.svg . For a spiral triskelion with a hollow triangle in the center, see Image:Triskele-hollow-triangle.svg . For versions of a triple-spiral labyrinth, see Image:Triple-Spiral-labyrinth.svg and Image:Triple-Spiral-labyrinth-variant.svg .
Date
Source

SVG version of Image:Triskelion-spiral-threespoked-inspiral.png .

Converted from the following PostScript code:

%!
/archimdouble{
%%%%%%%%%%%%%%%%
% PostScript program to display an Archimedean spiral by approximating
% it with Bezier curves.  Can display a double spiral (two spirals
% rotated by 180 degrees with respect to each other).
%%%  Parameters:
                 % centerx = horizontal coordinate of center of spiral
                 % centery = vertical coordinate of center of spiral
                 % rotf = degrees to rotate
/sepwid 110 def  % width separating successive turnings of spiral
                 % (half this if double spiral is selected)
/incrm 15 def    % insert a curve point after this number of degrees
                 % CHANGE TO 30 EXCEPT AT TRANSITIONS
/double 1 def    % change to 0 to display single spiral
/quadruple 1 def % change to 0 to display single/double spiral only
%%%  Procedures:
/pi 3.1415926535898 def/radians 57.295779513082 def
/sepwid sepwid pi div 2 div def
gsave centerx centery translate rotf rotate
/aspiral{/prevbezy 0 def/first 1 def
    lower incrm sweeps 360 mul{8{dup}repeat
        phase add cos/costh exch def
        phase add sin/sinth exch def
        costh mul radians div/thcosth exch def
        sinth mul radians div/thsinth exch def
        thcosth sepwid mul/x exch def
        thsinth sepwid mul/y exch def
        0 eq phase 90 eq phase 270 eq or and{/slope 999999999 def}{/slope
        sinth thcosth add costh thsinth sub div def}ifelse
        sinth 0 gt sinth 0 eq costh -1 eq and or{/flag -1 def}{/flag 1
            def}ifelse
        /A exch def phase 0 eq phase 180 eq or{A 49.29348 lt A 180 gt
            A 196.273450852 lt and A 360 gt A 368.8301 lt and A 540 gt A
            545.9907 lt and A 720 gt A 724.5217 lt and A 900 gt A
            903.6281968 lt and or or or or or{/flag flag neg def}if}if
        incrm sub 3{dup}repeat phase add cos sepwid mul mul radians div
            /prevx exch def phase add sin sepwid mul mul radians div
            /prevy exch def
        incrm add 3{dup}repeat phase add cos sepwid mul mul radians div
            /nextx exch def phase add sin sepwid mul mul radians div
            /nexty exch def
        /prevdist x prevx sub dup mul y prevy sub dup mul add sqrt pi
            div def
        /nextdist x nextx sub dup mul y nexty sub dup mul add sqrt pi
            div def
        /normaliz slope slope mul 1 add sqrt def
        0 eq{0 0 moveto/prevbezx phase cos nextdist mul def/first 0 def
            }{first 1 eq{x y moveto/first 0 def}{prevbezx prevbezy x 1
            flag mul normaliz div prevdist mul sub y slope flag mul
            normaliz div prevdist mul sub x y curveto}ifelse
        /prevbezx x 1 flag mul normaliz div nextdist mul add def
        /prevbezy y slope flag mul normaliz div nextdist mul add def}ifelse}
    for stroke
    x y moveto x 1 flag mul normaliz div nextdist mul pi mul const mul add y
    slope flag mul normaliz div nextdist mul pi mul const mul add lineto
    stroke}def
/sweeps 1.67 def % number of 360 degree turnings to show
/const 2.315 def
/phase 0 def aspiral
double 0 ne{
/sweeps 1.4584 def
/const 2.621 def
/phase 90 def aspiral}if
quadruple 0 ne{
/sweeps 645.1 360 div def
/const 0 def
/phase 180 def aspiral
/sweeps 555.1 360 div def
/const 0 def
/phase 270 def aspiral}if
grestore
%%%%%%%%%%%%%%%%
}def
68 55 translate
.75 dup scale
gsave
800 0 translate -.75 .75 scale -20.77 rotate
/lower 0 def
/disp{70 rotf -56.801 sub}def/trnslx{disp sin neg mul disp cos mul
translate}def
gsave
/centerx 304 def/centery 550 def/rotf 125.67 def trnslx
  archimdouble
grestore
gsave
/centerx 634 def/centery 550 def/rotf 245.67 def trnslx
  archimdouble
grestore
gsave
/centerx 469 def/centery 835.7884 def/rotf 5.67 def trnslx
  archimdouble
grestore
grestore
.75 setlinewidth
598.996 0 translate -1 1 scale
299.498 327.764 10.3125 360 0 arcn stroke
299.498 327.764 translate
/sepwid 123.75 pi div 2 div def
/const 0 def
/incrm 30 def
gsave
-3.0445 rotate
1.00451 dup scale
/sweeps 3.1 def
/lower 870 def
/phase 60 def aspiral
/phase 180 def aspiral
/phase 300 def aspiral
grestore
gsave
-2.87 rotate
1.00412 dup scale
/sweeps 3.27 def
/lower 930 def
/phase 0 def aspiral
/phase 120 def aspiral
/phase 240 def aspiral
grestore
showpage
%EOF
Author AnonMoos

Licensing

Public domain I, the copyright holder of this work, release this work into the public domain. This applies worldwide.
In some countries this may not be legally possible; if so:
I grant anyone the right to use this work for any purpose, without any conditions, unless such conditions are required by law.

Captions

Add a one-line explanation of what this file represents

Items portrayed in this file

depicts

image/svg+xml

File history

Click on a date/time to view the file as it appeared at that time.

Date/TimeThumbnailDimensionsUserComment
current16:34, 27 July 2011Thumbnail for version as of 16:34, 27 July 2011606 × 617 (8 KB)AnonMoosnot transparent in corners
12:28, 18 December 2006Thumbnail for version as of 12:28, 18 December 2006606 × 617 (8 KB)AnonMoosadding white background
06:51, 7 July 2006Thumbnail for version as of 06:51, 7 July 2006606 × 617 (8 KB)AnonMoos== Summary == right|120px A form of a Triskelion symbol containing three double spirals which branch out into a larger spiral which encloses the whole figure. Inspired by various Celtic decorative motifs, but this v

There are no pages that use this file.

Global file usage

The following other wikis use this file:

Metadata